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Topic 10 Classwork Assignment

Problem 1: The set {2, 4, 6} is a population data set.

(a) Fill in the table and make a bar graph of “Frequency vs Data Value” for the population data set. Is the

population bar graph symmetric or non- symmetric? Find the mean, μ, and the standard deviation, σ, of

the population.

Data Value, x

2

4

6

Frequency, f

1

1

1

Bar graph showing the frequency of data values from the

given set

1.2

Frequency

1

0.8

0.6

0.4

0.2

0

2

4

6

Data value

The population bar graph is symmetric

𝟐+𝟒+𝟔

=𝟒

𝟑

x- μ

(x- μ)2

2-4 = -2

(-2)2 = 4

4-4 = 0

(0)2 = 0

6-4 = 2

(2)2 = 4

∑(𝒙 − 𝝁)𝟐 = 𝟖

𝟐

∑(𝒙 − 𝝁)

𝟖

𝒑𝒐𝒑𝒖𝒍𝒂𝒕𝒊𝒐𝒏 𝒗𝒂𝒓𝒊𝒂𝒏𝒄𝒆 = 𝝈𝟐 =

= = 𝟐. 𝟔𝟔𝟕

𝑵

𝟑

𝟐

𝒑𝒐𝒑𝒖𝒍𝒂𝒕𝒊𝒐𝒏 𝒔𝒕𝒂𝒏𝒅𝒂𝒓𝒅 𝒅𝒆𝒗𝒊𝒂𝒕𝒊𝒐𝒏 = 𝝈 = √𝝈 = √𝟐. 𝟔𝟔𝟕 = 𝟏. 𝟔𝟑

𝑷𝒐𝒑𝒖𝒍𝒂𝒕𝒊𝒐𝒏 𝑴𝒆𝒂𝒏 = 𝝁 =

x

2

4

6

∑ 𝒙 = 𝟏𝟐

(b) Find all samples of size n = 2 for the population data set and then calculate the sample m...